The generator matrix

 1  0  0  0  1  1  1  2  1  1  2  1  1  2  1  1  2  1  2  1  0  1  1  0  0  2  2  0  1  1  1  2  1  1  0  1  0  2  2  1  1  0  0  0  0  2  1  1  1  0  0  2  1
 0  1  0  0  2  1  3  1  0  0  0  3  3  1  1  1  2  2  1  0  1  1  2  2  1  1  1  2  2  1  3  2  0  1  1  2  1  1  1  2  3  1  1  2  1  1  1  1  3  1  2  1  2
 0  0  1  0  0  0  0  0  1  3  1  1  3  3  1  3  2  2  3  2  1  1  2  2  1  1  2  1  3  0  2  1  1  2  3  1  2  3  1  3  2  3  2  1  2  2  3  2  3  0  0  0  3
 0  0  0  1  1  3  2  1  1  2  3  3  0  2  2  1  1  0  0  3  1  0  2  1  3  3  1  2  3  0  1  3  2  0  0  0  2  3  1  2  0  3  1  3  3  2  2  3  2  2  1  3  1

generates a code of length 53 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+102x^50+41x^52+58x^54+18x^56+18x^58+2x^60+8x^62+1x^64+4x^66+1x^68+2x^70

The gray image is a code over GF(2) with n=106, k=8 and d=50.
This code was found by Heurico 1.16 in 2.51 seconds.